Proportions and Proportional Relationships

How can you determine that the relationship given in a table is proportional?

• The x values go up by the same amount

• The ratios of the x and y values in the table are all equal

• the difference between the x and y values in the table are all equal

• multiply the x and y values and see if they are equal

The graph of a proportional relationship is:

• a straight line through the point (0,1)

• a straight line through the point (0,0)

• points that go through the point (0,0)

• a straight line that goes through any two points

Which of these situations would NOT be a proportional relationship?

• Rosa has $50 and spends $6 every day for a week

• Jamie reads 22 pages per day for 8 days

• Matthew earns $12 per hour

• Candles cost $10 each

Tags

CCSS.7.RP.A.2

Does this table show a proportional relationship and how do you know?

• yes because the x values go up in a pattern

• no because the ratios 20/5 , 50/10 and 90/15 are not equal

• yes because the ratios 20/5, 50/10 and 90/15 are equal

• no because the amount earned does not go up by the same amount

Ava earns $6 per hour babysitting. Use this graph to determine whether the amount of money Ava earns is proportional to the hours babysitting.

• not proportional, the graph doesn't pass through the origin

• proportional , the graph is a straight line through the origin

• not proportional, the graph is not a straight line

• not proportional, the rate of change is not constant

Ryleigh opened a savings account and now deposits money every week. The graph shows the balance after several weeks. Does this show a proportional relationship?

• yes proportional

• no not proportional

Does this table show a proportional relationship and how do you know?

• not proportional, the ratios are not equal

• proportional, the ratio of earnings to hours is always $8/hr

• proportional, the number of hours goes up by one each time

• not proportional, the graph would not be a straight line

River Adventures charges $15 to rent a canoe plus $5 per hour. Use the graph below to determine whetherthis is a proportional relationship.

• proportional, the graph is a straight line with a constant rate of change

• not proportional, the graph does NOT pass through the origin

• not proportional, the graph is NOT a straight line

• proportional, the graph is a straight line through the origin

The ratio of boys to girls in board game clubs is 7:5. If there are 36 kids in the board game club, how many would you expect to be girls?

• about 15

• about 26

• about 21

• about 50

• 15
• 30
• 60
• 12

Tags

CCSS.4.NF.A.1

CCSS.3.NF.A.3B

CCSS.3.NF.A.3A